Reachable Set Estimation for Discrete-time Time-delay Singular Systems

This article studies the problem of reachable set estimation for a class of discrete-time time-delay singular systems (DTSSs) under zero initial condition. A sufficient criterion for the discrete-time singular time-delay system is derived in terms of matrix inequalities. In this case, the DTSSs are regular, causal and all the states are limited in the prescribed ellipsoid. The proposed method avoids decomposing the DTSSs. Finally, the effectiveness of the proposed method is demonstrated by one numerical example.